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Most materials expand when heated. One notable exception is water between 0°C and 4°C, which actually decreases in volume with the increase in temperature. Which is greater for water in this temperature region, Cp or CV?

User Delio
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Final answer:

In the temperature region between 0°C and 4°C, water's Cp is greater than its Cv, due to the unique density and hydrogen bonding properties of water, which is densest at 4°C and allows aquatic life to survive under insulating layers of ice in cold climates.

Step-by-step explanation:

When considering water in the temperature region between 0°C and 4°C, the question relating to heat capacities arises: which is greater, Cp (the heat capacity at constant pressure) or Cv (the heat capacity at constant volume). In the case of water within this narrow temperature range, Cp is typically greater than Cv.

This can be attributed to the anomalous expansion of water; as it is heated from 0°C to 4°C, it actually contracts instead of expanding, which is contrary to most materials that expand when heated.

This anomaly is due to the unique structure of hydrogen bonding in water that is most 'ordered' and thus densest at approximately 4°C.

This behavior is critical for the survival of aquatic life in cold climates. Because the densest water (at around 4°C) sinks, in freezing conditions, it can protect the life in a pond or lake by sitting below a top layer of less dense, colder water or ice, providing insulation from freezing temperatures above.

This unique property of water ensures a stable environment for aquatic organisms and is essential for their survival during winter months.

User Monu Kumar
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